3z+2=5z-8+z

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Solution for 3z+2=5z-8+z equation:


Simplifying
3z + 2 = 5z + -8 + z

Reorder the terms:
2 + 3z = 5z + -8 + z

Reorder the terms:
2 + 3z = -8 + 5z + z

Combine like terms: 5z + z = 6z
2 + 3z = -8 + 6z

Solving
2 + 3z = -8 + 6z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-6z' to each side of the equation.
2 + 3z + -6z = -8 + 6z + -6z

Combine like terms: 3z + -6z = -3z
2 + -3z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
2 + -3z = -8 + 0
2 + -3z = -8

Add '-2' to each side of the equation.
2 + -2 + -3z = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -3z = -8 + -2
-3z = -8 + -2

Combine like terms: -8 + -2 = -10
-3z = -10

Divide each side by '-3'.
z = 3.333333333

Simplifying
z = 3.333333333

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